{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from PIL import Image, ImageFont, ImageDraw\n",
    "im = Image.open('./realcap/captcha (4).gif') \n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAABYCAMAAADsrVGTAAADAFBMVEX5+flVVVXp6enX19eGhoZj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\n",
      "text/plain": [
       "<PIL.GifImagePlugin.GifImageFile image mode=P size=400x88 at 0x7F22BD597250>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "im"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from zheye import util"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "im = util.CenterExtend(im, radius=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "vec = util.Img2Vec(im).copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Y = []\n",
    "for i in range(vec.shape[0]):\n",
    "    for j in range(vec.shape[1]):\n",
    "        if vec[i][j] <= 150:\n",
    "            Y.append([i, j])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 高斯混合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import itertools\n",
    "\n",
    "from scipy import linalg\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "\n",
    "from sklearn import mixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 0.5358979702 seconds ---\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "start_time = time.time()\n",
    "\n",
    "ini = np.array([[64, 60 ],[64, 100],[64, 140],[64, 180],[64, 220],[64, 260],[64, 300]])\n",
    "\n",
    "gmm = mixture.GaussianMixture(n_components=7, covariance_type='tied', reg_covar=1e2, tol=1e3, n_init=9)\n",
    "gmm.fit(Y)\n",
    "print(\"--- %s seconds ---\" % (time.time() - start_time))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  69.95803852,  269.80757743],\n",
       "       [  68.24571129,  118.17421695],\n",
       "       [  76.97357505,  316.51748669],\n",
       "       [  63.80349286,   55.69649357],\n",
       "       [  62.70598251,  226.72240744],\n",
       "       [  68.4102538 ,  170.1129511 ],\n",
       "       [  66.13634206,  370.44365016]])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gmm.means_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "centers = gmm.means_.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "centers = centers[np.argsort(centers[:, 1])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EkKdPnnA+k1P//d/kl8IRojpAELBhT/ZpP7TQgDH9iRhSx7gg5EQicePGjV6D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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=440x128 at 0x7F22BD597F50>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "util.PaintPoint(im.convert(\"RGB\"), centers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import keras\n",
    "model = keras.models.load_model('zheye/zheyeV5.keras')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from matplotlib.pyplot import imshow\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--- 0.0470261573792 seconds ---\n"
     ]
    }
   ],
   "source": [
    "index = 2\n",
    "\n",
    "import time\n",
    "start_time = time.time()\n",
    "\n",
    "a = [[0]*3 for i in range(3) ]\n",
    "for i in range(3):\n",
    "    for j in range(3):\n",
    "        x = -2 + i + centers[index][0]\n",
    "        y = -2 + j + centers[index][1]\n",
    "\n",
    "        cr = util.crop(im, x, y, radius=20)\n",
    "        cr = cr.resize((40, 40), Image.ANTIALIAS)\n",
    "\n",
    "        #X = np.asarray(cr.convert('1'), dtype='float')\n",
    "        X = np.asarray(cr.convert('L'), dtype='float64')\n",
    "\n",
    "        X[X <= 150] = -1\n",
    "        X[X >  150] = 1\n",
    "        \n",
    "        x0 = np.expand_dims(X, axis=0)\n",
    "        x1 = np.expand_dims(x0, axis=3)\n",
    "        m_y = model.predict(x1)\n",
    "        \n",
    "        a[i][j] = m_y[0][0]\n",
    "\n",
    "print(\"--- %s seconds ---\" % (time.time() - start_time))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAACgAAAAoCAAAAACpleexAAADg0lEQVR4nG3TQWgUdxTH8Y/LUKvI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\nVPHMZETARNbCjDp6ut2DVGn01MhHEf4FK2hL2g+cWXMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<PIL.Image.Image image mode=L size=40x40 at 0x7F22AE13BFD0>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "score = np.array(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.99998808,  0.99989104,  0.99981993],\n",
       "       [ 0.99998939,  0.99997461,  0.99996877],\n",
       "       [ 0.99998999,  0.99997258,  0.99973363]], dtype=float32)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([], dtype=float32)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "score[score > 0.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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a0sWRAwCyBOzpqrqShEdunhyhRKpyhFnBFxcXODs7w/n5uTtrLiJiJWUum7ft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\nAG4fUSd39qzIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22bcfd9250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.00000000e+00   5.60739792e-15]\n"
     ]
    },
    {
     "data": {
      "image/png": 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dqnv7MHFJpfMsNf1+32zypppt+veKuh9re49VcYu8ux4RLwv0/+31prst1ynL\n6HopFrUQwhQJ6xafkLDX4Ui2dbdka2HJro5IWIIDrpepmS1ksk2vi7zUZZbXFrW+zk3CIYTnA/gB\nAM8F8AUAviXG+A56zxsAfC+AewH8KYDvjzE+kvrera2tCQl71jDOEKc8lJZNrApoYrSa8pxg0M2t\n4XBoErdFfhZBppp38tupThcpgvceAMsA77+mWgdVnR/WhDU4EtZyxOrq6iRytZwTWsLw8ihWa7OO\nSFikMt06s8hX71tBhiVBNNFKqRvniYQ3AHwIwM8BeBu/GEJ4HYDXAnglgI8B+BEA7w4hfGmMccf7\nUq0Jp57uFkHzMe9zdUTCmoB1JKz7ta+vr2NjYwOj0Wjm/RaZF60tbVdHytbCDgdv2zu2DND/WepL\n6kav8twIGWtZQkfDErEKAQsxpVqEXv5EFo/A64iErXndUkRsOXmsVgkHLYuIuUk4xvguAO8CgGD/\n69cCeHOM8e1n73kFgMcBfAeAn/W+986dOxgOh/Ibk7XVq63Mwu+tEhb56mhUIuH19XVcuXJlsqyv\nrxcmxVLHi+SKFGF75OFtW/uXGdZ/ZzmiTgK29kMIM4R6eHg41Rwv03HJ62Jfd6AiQYm2T8poZ5aX\nXZOw1yIsE0wsGirVhEMI9wN4GoB3y7EY42EI4b0AnocECW9tbaHf78tnkr9T1t9bByzi00RskfDV\nq1dx7do1bGxsmE/3stYxq5KVObaolbMJ6OhT9vV2k1KNJ0dIJMwJqRBCckQ/7sLPi/e7VUBHwjLe\ng7QMr1y5UkjC8h3W9142VJ2YexqAiNPIV+NxAPelPlimL3xXwU9kIVY2osv4DWUXKxLOqB6p86qv\nAY+x0e/3J708rRZYFeDkHEflKbmBNeN53UIccJRZpGzD4RAbGxszi46CraEn2cq5DOiMO+JDH/rQ\nJBIW3HfffbjvviR3dxK6QvLAOJ78YDW9FrmJdZmgrxc/WMV94zkVLgIhcx0Nc3M8ZdO86Bgmnkxm\nyXC8Hg6HU701ufemJmDdyWIR6/uNGzdw48aNqWO3b98u/fmqSfgxAAHAU8+2Bbw/g+c85zm49957\nKy5O87AkCh5WL5V4qzsBlDEf+IGqk01CwjrKlGRaVdGwEOjx8fGkLPLdQsLWQFcSBXvjmZT97/p/\nW44Fb5B/HvOX1zwZp743Fg2bm5vY3NycOnbz5k08+OCDpT5fKQnHGD8ZQngMwIsA/AUAhBAGAF6A\nU1vbpYcXau1yAAAgAElEQVSlFevoKdWEa1J/zCgPbtVoP7ZEqb1eb0KA2nZ2UUgkrAlKyFUSd97i\nuYzm+d9Mrroue5MHiAZcNNykNWHAMtb38/iENwD8A5xGvADwJSGEZwP4XIzx0wB+CsDrQwgfB/Bx\nAK8HsAPgV6opcvch5MkRhPbq6vd50W8m4W7AioQ1CUuUCvgjop0H+ruE3LWdDPDnS+ROSueJzHVr\nTne68Mb7tcb/9cY5sTocLWokfFGcJxL+agDvwWkCLgL452fHfxHA/xBj/PEQwgjAW3G3s8aLUx7h\nywSOhJmIWWKwZAdvndE8+HpakbBFwFVdMyFz/d0SGctxz0tvJQrPI0fo/6yJ1hvhTAbZKZoqy3IH\nLWNdP49P+L0AkqNlxBjfCOCN5y3UooNJWDfj2ALFn0vtZ7SDVCTM7ggZc0LrtxcBEyu3kMoQrbdd\n9J91a05Hsro3KE+4Kds8nRZryVl+u4vOuCMuC1jrZS0xY/FgOV2YhEUGWFlZmZInLoo6OhuVgaWD\nMwGL5cxay6h983jelxWdIWG52GWgn/jWOiOjSngPVVnG43GnB5PxJK+US2dlZcUcGlXvs91Muxy8\nXp4Zs1hYEk51V87IqArcsrHsWZKc09PqdAUpJ05q3GsZbtKb1dgacJ31Xv49KU/GNBaShC1jPDDb\nBTUjowpwpMhELATM0V/bSEW7bJ20ho1MzfPmTbapI+Gs95ZDZ0hYLn4ZaJ+kEHAVlqCMDA+pSNiy\nWXWFcFhK0W4Ea4ZjbSfj4Sd5sWZ3kXORybc8OkPC80TC2hYETI86lSPhjKrh2Q4tApalK+By6/Jb\nsxvrfWumFh35ck852bYiYSlLJuRZLCQJh7OeQoKqzPEZGRZSBKwJyCKetsud8q2L79ea4SI1z5tE\nwZbP12oNZD04jYUkYQGb4/NFzqgaKSLjLrddlyPYs8vDrvIgO1bPNyHhsl7frpyHLqMzJCwX1wJL\nDL1eb2pAE3mPFRE3JU9kGeRyw7Ko6XXb9jSro4819KaO3nWHCz0DjPh9re7Gsj9vwJThozNn8tq1\na1OjqHk9gGKM5tipMstAr9dr1MJWZiaPTNCLDSsa5mSX5wao+9rr32UXBA+0w4s11CSP8Wt1M86o\nFp0h4atXr06RMA/Bp/etyQt1JfEm+qxqjFdZW+SbfcuXF5Zn2EtCNVkeb0zfIveDN9SkTrwxAXdJ\narks6AwJX79+HZ/3eZ8HYNoHbC1CvJ41iGdh5kRelfCIN/fiuzywOjx4XXGbJin2/GqJRLsb2OnA\nFjT2AOsIeNEHXe86OkPCOhL2priX9cHBwdSss1w5eHhB+c6qmodlomH9vozFh9Xk52i4aSLWkTB3\numCvL/dy02TMSTeJlrlHXY6E60FnSFhrwjqKtRare6QQbIzRnIWg1+tVGg3zyFRZirjcSEXCbXZM\n4LEsNKFa4z7odUov5jEgujgmxmVBZ0lYT9XCa54qSKAJV/Z177qqK1BKC86kfHnAnQ26Ikew9UwP\nti6zG+uFh530pibyer3lSLgedIaEWY7QkxfyoqdC0RY1PeOATuhxD7sqkcl2OWARkpewaoOI9XCT\nugMG+3+1FY170HFyT/+GXmdUi86QsFQa4FTTlYFReBZZPYGhngpceyDltbqyuppwteTBTg7L4ZEq\nQ67k3Qbr/3x9+X1Vwup9pomXybdoGY1GbkSfrWhppK6vvDZPD97OkDCDm35iDg8hmD2V2CXhdZ2s\nEnIjii0O8Of80rIIlyeTb7ehZS3JS+gAQecrqpxpGZhNCOrFkx607CCEq6cb4mRilhnKw3rYWscW\nnoR1xYsxzjSNvH77TSRLdPSrjwHFBKy1afkevZ3RTejIl4lYWmjayVM1CXuRKs/1puUHTcDaCSGu\nh1QHk4xipDqT6XUZdJKEgVki1sd59CqOhOtOlvAJ1uRqjXXMNyeXJ1f87kPnFzgS1tGwvtZVgJNv\neptHPdNShO79pglYJ7W9+yPXxzSKOmoBlyASFmhdSpOcNY6r52esU5LgG40jppQcoZErfbfB19SK\ngi0pogoiZk+ydjNYkbAQ8MbGxhT5enKE/EaOhOdHKjew8JGwrgzcNz7GaEbBKcuQfGdVsE6wRLgp\nApapyuW/SLmyHNFdcGJV678cCVctR7ATgwfjSUXB6+vrk9HOrOnmReKrO29yWZFKwgOXJBLWeqkm\nKSHhVDTcRMKBnRGynSJhncjTT8xc+bsNvtmaTsxxhwx2ROjEnLag6WnnrS7I8v36tzKK4UkRWoa6\nNCSs18DdP1+GgJtIOMybnJNIWCBkzA+ajG7BioQtTVhf66rA0bDuFWdNwKmJmJNwXZ39YxHB5Mu5\ngEshR6SOa6JN+Rzb0Lksod7SjerwkmbMD+96yWuHh4c4ODjA/v4+9vf3J9t6LaP6aTKuw6LGnSm8\nWT609JDyAOeHvo2U8yHGOPUgZnlK3ruzs1P69zpJwmXBHsoie1rTlc7SjbS9LZNxNyA3FrdaZMS+\n3d1d7O3tYXd3d7K9t7c3RcwyrrX+nqrA9bmok0UXgpFFhqf3ynWVB641rrlc9yeffLL07y0sCXsV\nsytG9FRErLXkjPYhN5eWFmRbSFiTr1729/cnY1vrHp1VR8IW+XJd9+q+rOX7MtLQhMsjOY7H40nr\nSIbUle2DgwMcHx8DqJmEQwjPB/ADAJ4L4AsAfEuM8R3q9Z8H8Ar62AdijM+b97dKlCUZHbQVAVjC\nvbaoec2djHYgkbAV3ezv709I2CJiufHYrlbFdeVWnFXXPWdQ3Z2WLjMsJ4yWHHQriJejoyMAwO3b\nt0v/3nki4Q0AHwLwcwDe5rznnQBeCUCu+uE5fscF22osfbiJxFwKXiScdeHuQTse9GwtovtqAmY5\n4uDgYEYjrFOOKJML4fuAvyOTcTE8J4x+MLNEtbu7i8PDU6qrlYRjjO8C8C4ACP7VPIgxfnbe754X\nZXSyNhNzvK/taZmIuwGdbJHoVyfd9vb2sLOz40bCh4eHpgumajlCb6dkCcsBkaWI+cAErDXgw8PD\nCeHu7OxgZ2cH29vbk+2DgwMA3dCEXxhCeBzAkwDeC+CHqiblomQFP/XbqIAsRVhELO/LaA8cCQsJ\n60iHJQnd/LScL1Vf0/Mm5fg7MorBmrAmYN062t7extbW1mTZ3t7G/v4+gPrliCL8DoBfA/ApAPcD\neBOAPwghPDfGeFTlDxU10dokYi8plwm4e2BNmGUIjoD1viRi6oRXz8vowanvzLBhWdEsEt7Z2cHW\n1hZu376NO3fu4Pbt290g4Rjjr6vdR0IIHwTw1wBeAuC3qvgNS+/1KmbTOhibt9ncr/+DRcoZ84PP\nHe8XdaDRxJqyo4kfuGovcJn/53UUSQ0clInWhicZyvbh4eFEjtLSlCZgaQmJK+YiElTtFrUY42Mh\nhEcBPCP1voceegjXr1+fOra5uYnNzc3k93cxK6wjX75pgOlBWZq8mS87uHUha8t6phdNtJYFTXfK\n0Mm3pv4Td5lODaOZ61MxPB+wbGvCtRZ5OMtD+cMf/jA+8pGPTOyJACYuiTKonYRDCE8B8HQAn0m9\n7+GHH8YDDzwwz/eWTszJ+5sAEzDfNBy15yi4GnjJUABTzUlZ9L53s+kIiHvGNUF2LGXpurSysjLT\nYysne8uDW6zcQUfnBfgBLZGwdNJ5xjOegS/8wi/E7u7uhHxv3bqF3//93y9VlvP4hDcA/APctZ99\nSQjh2QA+d7a8AcBv4JR07wfwZgB/C+A35/2tEmWZ0cq8AaubhCXsy6IJuOpRtzJsLV4Sbtz1mEmW\nm56ysHe46UjYqk9CwtYIbvK5DBt8PnnR9cPLBXDr6CIP5fNEwl8N4D0A4tnyz8+O/yKA7wPwVQC+\nC8A9OCXiPwTw8hhj+c7UBUhpwm17ha2bRhOxEHAdI24tMzhq5AhSSNjSf70eULKwnNG0JmwRhp5z\nsa4B5S8zUjq7fiBbDhl+QGsZ4jw4j0/4vQBSQzB9/blLMyeKLGpt+ISB2eyqliOEhIWI8w1zcVgy\nhH4QauuZZLW3t7exvb09MdiLPMFrucGE5JomOy8SDiG4BJzrVBpW/WAvMEfDUm+4vixEYq4uzNNR\no2l3BOtN+ikro15xIiXfOBcDEzGff4mExd95586dibdTZAa+GUV6sCLsJp0ROmrT9bpoZo8MH5Zc\nyJ11tAwhnTF2dnbM5G7TckQnYHXH1JpwF/RgK5u9urqab5o5kTo/FunyoCsS2egbShMxOyf0dqqZ\nyXWrjuto/Tep13WPZbyoKLoOHgFzd3VLE97d3Z2Rhi7aMlpIEvb6w2vybdOmlrITZQ3vfLASblr2\nsaITWUR62NramjQppbcbRzHi25axeE9OTqbqG689u1MV19WK7oWEAWQ5ogDcapG1lhysZWdnZyb5\npusKB1AXPecLScICi4C74hFOCf9yMdto3i4qLEuRHJNmpKXpylCUujkpo58dHh5O5AaJIEMIk9aU\nXBMrwSv1yrIjyneNx+NK/rf8ho6AOeeQLWrTsOQj2feiXvYBW/5wy5N90fO9sCTsRcMpIm6j1xw3\nefr9fo6E54T1UNPbMrKVFdVYzUrdA457MXId8VpYsmbNX0iySllAPyRkH/AjYf2eZQXLVHqbk2+p\njjrWzCkcEFz04bewJAzMEnHKH9xWYs7rapqbj/PBOp+yFr3XMtazH1g3Q+XG4jrDYzSkkr969DUZ\nMIdJ8yLgSE4f41ZVrk+nsBwy+p7jBBwPTcmddXTi1kvUXgQLTcKA31TsgiTBBCzZ9qzjzQ8dCevz\neXx8PCFdPeSk3pZIxlrEsSJTwGsLoU70esNFjsdjrKysTOqYdmSIZnzR/63lCL1vOSNyy+oUViAk\n54k1YXlgS53h1pTVU9JazouFJWGPbNseOyLljrASc5mAi8FyhLYTaeuZHttVknHb29sz3Xu504XU\nG+Cu/KAnzdTEzBNtim1Myinfz8NIXgRaD9bEXmWG/rIh1SK1vMD64W11b9cBFEs+S0nCLDOUcUR0\nxSdsNSEzisE3FCdXpCkpLgixn925c2fqYWdpeEKqeltmLJZp4/XMxnpfkmT8gKiqvumbW2/rzhpZ\njphGkSRo1R1tX+SWEjub+LcuioUkYcC3p3kuiSbhNZ11s8br87+MsIhGrzXpWtquNfWQXmKM5gOZ\no95+v4/BYDBZhsPhFAlrApbto6Mjk4QlYrYSahc9R7JvuUWWoR4V/UcrMa5JlZO2nMC1/OJsZdS8\no/cFq6vlqXVhSRhID+reFgHzheeR3OTmZqF/2eFlsiUBxTeM1a1UkijSfF9ZWcFgMAAAs5UkdUUT\nr1wf2eZImCWJ1dVV96ErHXPk/1XVfM24C+sBbrWWtLzA7gcr+WZJhvL9Vr5A5wkATOaaK4OFJWHv\nhmq76zLfkDzDwXA4nBH6lz0SBjDVbORkiljQtJ2It+WGknOqSTg1+4S8J0XCqQSdzDHHXV/7/T5W\nV1fNDh2CZb/mFwU/2GRtab96YeeMJmjPD6whrSe5xnotJLy7u1v6fywkCVseYc5ct52YE/LQx2KM\n2N/fx9ra2pTQn3Vhf3ZbGffBkhn0tPNa7pHzubq6isFgYCbUtKzAJKyJuN/vJx/ykpxj2UkkDvES\na3tZfuheHFbLQruSvAQc2xc9B4S2tenv1hKW9dAWGWJ7e7v0f1lIEgZmdT3rRmmDiDWZ6GMiO3jm\n72W+KT3ngyw8pCAPL2g1ISUSHg6HUxqudj2srKzM6MBMxOKO8PIOkpzTbg0hb7khdf3TTodlvuZV\nwUq4shzBA/JYnTEsGxrr7YJerzepN6PRCKPRCGtraxiNRuj3+wDan+izMZSRI6q0CpWB9nDqCiGz\naFgknCMjvxnJFjT2AO/s7Jjdg0MIExLUiTfddJTFI2EdCacskRYBywLc7b7MTeeMiyFFwLoVxWMD\nWzKW1oRTThoAU5HwaDTC+vr6ZJEcxJUrV0r/j4Ul4SJNuK0OG/rinZycTuQp2vB4PHZJeNmh7XyW\nmZ7Hf9DLycmJ28FCol0hW026RQQszUtdf1gKExI+PDzEcDjEwcHBVCTM7ghp0jadML5ssKQIzxFh\nkbBO8PLg/dZ3y75OyGoSvnLlCq5cuYLhcAhgCUjYuhGKiFh/rk5IRGdZooSEeUT+ZY+EtZYnzUgm\nYB356o4Y29vbCCFMEa1IEZx0E+1Oa3h62yNhDa5DIYSpB4aOhDUJxxgnraH80K0GFgFbXnKLhHVL\niwMj/f0WOBJeW1vDxsYGrl69itFoBADY2Ngo/T8WkoSB+Yez1NtNEJ6VBV/W7sqeI0CfF9185Ak4\nrQeXTpJ4iRKLdC3dl6NkvS7yex4fH8/IHfI5IWFO7NQdCWtSAuzgY9Ejcaszhtxb3jCVPHO2ZUvj\n+5GDKZ3QlWs9HA4xHA4n+jCAiSxRBgtLwkB63AhvEBZ9A2SNrhlom5a16KjFsxVZ1jNNxHIjaOLV\n+6wB623Wi3WnjKKcguUh1qTMeiVbFi+KVDSox5vg1qA+tmjQ/5eHAzg+Pp5KuqVmzE7lZDw5Uyd2\n9aJzDfK+slhoEtbwstcWKVukm4m4PjBR8JrdBdbsx7oTxurqKobD4VRkMhqNpohXIhOJdK2bRa/Z\nPcHmew/aqma5MHTLR8aUqCoS9ixa3NKyJJRFh9U5RrtprNm0tfSguyMzEada0h756m1gSUi4TATs\nuSZYbOfIOKN6eJEaJ+OswbYPDg4mTUUhXh0RS5NQmoOagEej0RQxWkRpRbJlI2HPe2yRsNjZqo6E\nZW2dYys3schRsMCyorGMZY0xLe/hQZw4GrYS/kLCmngt1w2wJCQsKEvE+oRyYiSTbzNgG5G+iVKR\nsO4Cqq1ngn6/PyFga7G6l3IXZKtXnB6i0gN/F9+YojXq36laE/ZkHu1J1g+Ty0TAlpvG6uKuI2Fp\nVek6qAMzi4Dl+nlyBEfCMiBUGSw0CXvJuTLaMGepMxHXCytSs5qTOhKWm0gPiGOtdZZak6/sp7q0\ne/u67qTAcgRHwhINi01Rf3/V59aKhIV89faikzDgEzFPVWRFwuxKKoqEU9fWImJgCSJhbmKVIV29\nzVljaZ5lIq4XlpfTGl5QNyslcuHEmU60Menq9draWvIhXbQUIXWD9vv9yf/jSLjKc6rPLRMxgAn5\nXgYZQsD5BPaVe2QsJOy1HgA/ErZaOrwsVSTMN4lFxB4ZA3e7j8pnMwHXC3ZD8CDbKTlCdFRdwSX6\nHQ6HE7LVi0XCKZyXnKxI2CJkOT4PwZdFKhLW5WSr3KJCR8FSh6w8gqUFS36hCFYkXBQFL1UkrJGS\nIawnGT+htG6WUR+8a6N7tYm1TDcXgVMfccr9oBNy3FmijK5b53/z7JFVIWX70xY1y5Nedt/ydnNC\nsMy29Vnvt1MYj8fm2NF8TPIJ8w4bq8mXo15te9Recu2oAe62PspgaUnYyhTniLhecHShb8bhcDjV\nhVvrvePxONnDjf3Amvya+E/W/7P056qjYCaxlDtCk7H3PR7Bpha2HHo2RMs6V0TeHk5OTky5gUdK\n4+nqy97bIYQpAtZ1zXvgs5tmnmu8sCRcRo6wst46Er4szbNFgL42nAABMEPAcgMMh0OcnJyY+ht3\nupCOF01FwPzfUiRcFxEDPgHrVp5Hcl7EmiJaveZxd7Xmz9veVEyeNutB94qzZlvhYzJsbNnhATRv\n6BaabnWNRqOZOqflztoi4RDCDwJ4KYBnAtgD8H4Ar4sx/iW97w0AvhfAvQD+FMD3xxgfmee35ijT\n1NO+TCTMFSwTcDOQ68LHQggzEbAeKvDk5MT0Z3o9lsp2tKj6v1kBQJ3kC9jEaZGwde5T38GRq0e0\nZRZrolUmYib4ov/MM2h7+zoSZmuqBzlXUreEhHXSV0fClq+8zkj4+QDeAuDPzz77YwB+L4Tw5THG\nvbMffx2A1wJ4JYCPAfgRAO8OIXxpjHFnzt9LwiJfrnRWt1Jd0cQtkYm4XlhEIOdeRw/SDJRKL3O4\nWdfR6lyhtbkmI2H+j20RMUefuvUxTxScimKZYK052dh+6E10ywQv+0X/15o815oXjn+zDDR3aC3Y\nI2EhYvkMUKM7Isb4DVTYVwH4WwDPBfDHZ4dfC+DNMca3n73nFQAeB/AdAH52nt8rg1QUzJIEkzBH\nChn1Qs6xXBt+CEql56hJ3ldmqcsKVua/lZEkqoYmUYvU9IPOS4h50oMV1Vr+bm/N23pJSRllSFiX\nz3pYWFNllZE6gGlNOBUJ6y7xbWrC9wCIAD539sP3A3gagHfLG2KMhyGE9wJ4HioiYf6DRYk51oTl\nIvLNmhNz9YC1eysBpEccs5I9XmunaGnq/82rB9ehCXuygRcJW5/nKJglBb22ZACWArztFHmWIWHv\n4VG0XwYcCQsJa/uj5ZBoyx3xkwDep/Tep+GUlB+n9z0O4L4L/tYUytyAnibMBNxWJGw1D1NY1IfE\nZW5teJIYW9TqliI8rVaXx9JhU0uqac/DjjLZ6iSZtW1F13q/Tejrpx0S2hbpEXCjJBxCeCuAZwH4\n2vN+h8ZDDz2E69evTx3b3NzE5uZmUTlK6cC6eaErWV3+TQ9WtKErtr6p9f+Tz+rv4e8t2i4Ljlzr\n/tyiw9KEi6LhKiD1SKJS6S0mBKHHOrYSm5abgUkxRcJeBGxFxNbYvZZTog3w9WAO4QGfOO/w9re/\nHb/927891aqufY65EMJbAHwjgOfHGD+jXnoMQADw1LNtAe/P4OGHH8YDDzwwTxmmKj8nfLwTKUsb\nBCxgItZaGj9Q9P/lz8s2r1PHPKTIv8z5kSjdkoqWAU0TMGCT8P7+/sQ2dXR0lBx60YpAPQkiRcSp\nbU3KPIYvSwbyn5qCVeeBNH+w/tvr9fDSl74U3/Zt3zbRiAHg5s2bePDBB0uVY24SDiH8NIBvBvCC\nGOOj+rUY4ydDCI8BeBGAvzh7/wDACwD8wLy/VaIsU2vOsqeiYusGaQKe5qYHedEELNs6GvYy2kWv\nFeEi2qq8TxPxshAwkE7M6WtYJRnrBJUewEYy9RIJi7ZpDSxUZC0r40LwNOPUZzmJ2HQkbMlIsu/J\nmBYBV/GAndcn/DMAvh3ANwHYCSE89eyl2zHG/bPtnwLw+hDCxwF8HMDrAewA+JVzldAux9S+TjzI\nvkXEuvKxXmd9bx3wkh8SKXAWXWe1+XtShnfrtSJ4ZFFG30pVxMtOxvo86ZuYnRp1RMM6SXZwcDAh\n4BDCJBL2xj2wfLy8nSLSlHuiaOE6Ok/irCp4AYdHwhYRc5B0HswbCb8ap4m3f0PHXwXglwAgxvjj\nIYQRgLfibmeNF8eKPcICS4fUlb9LkTDbiSxNWHsN+f/JZ1Okm1qnYBGJrC2ZIfV5q9yXHUVyRB0W\nNS1HHB4ezvijDw8PXRIWSa4oqi2KZllT9hJ8vO/V46aIuIiANU94kmZV/DGvT7hULYoxvhHAG89V\nopKwtMcYYyH56hNb1ZNsHmjS5KafRC7yfzQJcrLNIl/LJ3oeEpbf1OsyJCwZeB29X3Yy5paUR8bn\nkXiKwJqw7qo9Ho+nMveafGU7RbJFRJyKZr1tr3XWlhQh29wCtKRMSxPmh14jckTXoP+8RGspIubM\npr5BmgJXSq7o+r+FECakpj9vRcFFVqMylVyfN/nuspGt1uXls5edgDVSBFxXi4s1Yan/QsxMvHwP\neAk2a9+KmFPJYVkXvUf/l6ZhRcFFmrDHH03KEZ1ASnfUHmA+mUVaXROQism9jg4PD2dm57UqZpmm\nnredglQ+rmBWF2CrFcKfscrvneNFJ+uiaLiOKFigSRiYJmaO3Hi7yOGQIuG2vbwXhXedigI4y6LW\ntCa8MLBuCm526Pc1BU3A2la0t7eHEGZnc9WLvsGK/J3z9kICYD68UkTCTTiv2ba6ujpzPXh7kZGS\ni+rWPTm/oM+pHGdbpt73pAetDbO0dRngtVw80rVI2ErunweXloQBf2AVLyKpmxAsS5EY7Pv9PmKM\npnYn2wBKZaO9Y0WwIgKupF5z2xrNTNZaV+bI4TKQsAY3xetMOLEcJSQsr+mImFs2QsKWK8JzMzSd\nPKsLuu55BJwi46qT+5eahIFy3ZubjMi0DiwkLIQVY3QjSnm9zA3jLWXPk0WYfAPzNo/rOx6fDsQu\n0BVW6/aXSTtOaaL6eNW/yYlXLXmlWjdFLSlL7lp0AhZwfU/ljzwpQt6bI2EHXSJeDUuOkAurm45W\nJjbGaHo6PZ8n76dQdJ4k2vUeEHpqIm3Gl+/WWrEQ+2W5oYFys1Ho91X5u9zKkWPceuF1UUKX3TWX\nIQoWeEFGSgeWQMN6oF0El5KELZkhpQk3ScYsR2hz/fHxcdJaJ1lvT78rIugiWDq67OtKybMer66u\nugTMyTrxQMv3L/pN7UW6KWdAlb/NJCzk68lvevEsZJwcZgJe9Gsm8DThVBQs+Q3vHJ8Hl5KEBV2L\nhtkZIQZ7KYPurMF+Zk3C83g7NRGXAWu1staSA08t1O/3Z6aQ4aaejorl+GW5mTXKJOOqjCjle/R5\nPzmZnlvO27aidC96v6xR8Lx6sJCwFaicF5eWhC0ySSXm2tCEj46OJk2Zk5OTieHestJJ85GtRClL\nERNxWVjnQiQHnvhQj9hlSRASLcsxWbhTxyKjiHD5fXX8ttX6S+1b3zPP/qKjiIi9Reqy/p6LYiFJ\nOFUhrCZU6ljTTSwph0S9chHLJlLm9XNacoQX7VpPddm2kjJdamXUhVRijZ0JVg9Iff7r1FWrJs2U\nNDVP/UmV1+th1zThl6nHVem/FhaShAXWDcIdF6ybo4mbIlVmXb7j4+MpouMLzokUz9tpWdL4AeNp\n40X7EtHyNPN6W0/9wgNfe9aeRSHqVJPdGlOXZ/vVk03ytekCrIeuVQ+tOsn1RQcWKej78bzSWVUo\nIyHViYUlYb4pZNvqzGC5Bjj728RJ1099NtbrSNiq1JqEixbPUlR0Y3kySK/Xm5EhNMnKrMjWlOA6\no6OP0H8AACAASURBVLyIBCzwklgS8VoErKdc11Fxl/RVK4qVxdNJ+WFq9bLU3891UB5ePDPHwcFB\nqd6dVaGsHl43FpaEgfQ4CqkoWBN10089LqNUSrGnpaJTIWqvtxxv83/TJJxyYViLpQVzNCxrvc0z\n0XI0tQhEzHVLL1YUbEXDOnHZxUiYZQa5Xno2Yb3tDWijCTqF/f39SU/R/f39SZ5AnEN1wwviLAKu\nmx8WkoQ98rVulBQRt3FD6EhY74vem9KlPCLg43qfoxCJcFKja3kJCSshx/NtWWsh4UUkYGD2wanX\neuwPT46wZpXoCgmnNNDUdbcGiddLEQnv7u5iZ2dnEnjIuTw8PGzon99FSorIkXABUgSsm+apZrv+\nfJNllmaplhm8pIcmq1QyI5V4lO/iLLAV5WjrmRyzbkRNxF6XZVl70X3XibiolZXSgz05oiskzFow\nkzB3xOGJLrme6KWIhKXOSHAhBFxH4ssD55SyJjwnuKmgCdUjX06OcLO9qXJLAk5vMyF529aTusy2\nQMsRlu+XbWheJMSL10SVbS/bvghgLV8nlLzEHEfD3ALrAgkLWIZgOcKa8l1r/laUrHVhC/JglnMq\nUzMVfa5qePdTk2S8sCQMzJ4wjoTLyBFNNz2s6LQMOMFhfW+Z79ByBDc3tZZrrVNLUbJmkUjXAtct\nHns3RcBWYq4rSNmxdP0Q98v6+jrW19cnEbGXCygiU90N//DwEHt7e6VkjCrgkWuKeOsk486QsFRw\nATcV9NrS5rRGt7+/PxkiUm4E74Zou3lYljxjjOYNYyVVrO1erzdXZOvpgLyWRaJdz3HRJqxEi34t\ntejkm9VJZn9/Hzs7O9jd3cXu7u4k0XRwcDAVIXMLrKn6ltJ8+YHJA9Osr69PiJfXEglbD+nhcDjp\niOO1zLy629Q5sWQ5WeT/WENW1oFOknBR8yBlzzo+Pp65IeSmWATLkMDThr1oU5Ogvsn0ttXlmMnU\n0vqkQnJ2XI8oxb/Ztcg3RbKWs0Q/3Fly0NGvDEXKC7sivNZXnfDqi1579rPV1dUp6UG29TGuMzop\np62XLBdKBMwaedPnReo0u3zkP8pxPVpaHegMCcsFkm3rwmldzusZdnR0NEXAOjLRxnnPrtYFeNFs\nytXA9iC++awnvmc98ra9sVUt10OXiJgJl+uW1/nF0n31Q1xPM69bXvv7+1OuCK8TTd3QLocyDhi+\n3lpy0D5wnZjjBKx+KFsOIL5/+QHV9HnRcov8Nx3pa4tlXS26zpAwR8KWFUtbuViT09tFkbDXc64L\nsAiYtVwrG12UGEvdbEyq3jq1dJF8Nby6ZEW61qLJl7e9Reql59+uG5bfd57F8oFr/3cqGBDJAZh2\nBHFiswvnRff41MlH7XNfukg41TzUGp3VRDw8PJwQsI6CdTRsdXLoCgkLLEsXP71ZiyuKZpmM+SbS\nUbPXfE0l3rwHSNtg+YGTtpxQ02tNqN6atWK97ZF/G83uVLKVcwVFUpXX+pJtbtlaSc22/Pr6vOge\nn1r3tiLhS0/COhL2vL06ckndGJqELTnCapZ2SRf2kimsY3lNRO/GsSJYS1JgjTfVlVqvpex63RVw\n60pLDkK6utWkt5mI9WKN26EXS05rQ47QdUZbzCyHg05Mea0n6yGs98X3rs+9nG/uvKLzMk1Gwvxw\nWltbw8bGxvJGwh4JWwOVp5qAViTMcoRlRekSAcuao2ErqtFNqFSPNq3XedEu/27KfeHp1vw/ugDW\nhC2vr55wlR/gVmQsi9Xpx3rA63LIdt0oqjP8ENdrSUilpCj5DWthB4p13tt0jHhyhLbf8X1z6UlY\nN1+YdFkD5mYjb+ubiUm4iX7pF0XKUqR7MI1Go4lvc319fSqS4WUwGMxEuzqaqbqC8Y3YNjxdUifX\n9vb2Jt1pdV5BEzBvN5VMOg9SZLOxsTHjfNDbYjOzpKcy9UV3SNIPQGuI1bZcI5YPemNjwx375NKT\n8O3bt/HEE08AwFRz0YqGvYSIvqE4O91F3ZcRgj3lvVQEjnx58TRi9jpaN1IdFayq7yzj5eW13rYe\n5NpNw9Gv5/dlHbPr8FwAHPFZEoSuL+f19HIEbCU22+hJyIGNluY4Z1JnoCLoDAk/+eSTUyRsacF8\nMVOZbLl59EXuOqRCaClB3yDWcJFFmrDl5S2SEroIiWI9h0NKvkrtHx8fT2nAViKXibvJqO0iSEV8\n0nKyHtpWHmBeAgamE+xa+unCeBqaiNnCaQUudd4jnSFhjoQt07zVpLFmmODMdVcdEAyJhAeDwVSE\nKxlbTciWbcizn3Fl6mqHCg+WnstyVeqhbD3I9b4lN6QGZF+EugTYcoROQFkOiFR9mQfsRrFasV3Q\nhXWnlTL+9zowFwmHEH4QwEsBPBPAHoD3A3hdjPEv1Xt+HsAr6KMfiDE+L/XdmoSLfMKcgebox2p2\nLsKNI5GLkPDGxgauXLmCK1euTDS8lK8z5e31mpaLQsQpWcHKDehj/BCf1ydsuXS6XpeAYjki5RWv\nor6wFpySI7RDom6wHKGJ2HOAdCkSfj6AtwD487PP/hiA3wshfHmMcU+9750AXglASl44SOiTTz6J\nK1euAPDnn2Kdz4uWPatQ16Ej4dFohI2NDVy9ehXXr1/HtWvXJtGu5/ct8vdaDodFAEdVTJJaStDJ\nWNm3LIl6bfWSs7ysbSSRLgJ5qEskzCSccj5ctL5YPVzlgen1XG1SMtS2T9aEvY5IdWEuEo4xfoPe\nDyG8CsDfAngugD9WLx3EGD87z3ffvn0ba2tr8juujSxlBeLETBsG+YvAioSvXbuGe+65B/fccw9G\no5E7boTl19RNSelyybreohBx6maWZJq3sBfcSuylHuop21mXUeSH9eqN7qJ7kfpiWQKLNOG2EnNa\nyrP8852RIwzcAyAC+Bwdf2EI4XEATwJ4L4AfKiLl27dvo98/nU6aPYbWMc976RH3Itw4ViQsJPz5\nn//5GA6HbhPR8+5aN8+iEK9AkyUPniMD6Ozs7GB7e3tmvb297fpzZbuIpHUZeLvLYBJmP6w31gcT\nznnqixUJe3JEG5Khl5jzXBGdiYQN/CSA98UYH1HHfgfArwH4FID7AbwJwB+EEJ4bY3RNutvb2xMS\nXlZIJCw3jNwsV65cwbVr1zAajdouYi2wbjx9jG9k7uEm3t6dnR1sbW1he3sbW1tbk+1FIMw6oEmG\no2FpVZ0XReeUk6lMwpYc0fTDjTXhoh6knYuEQwhvBfAsAF+rj8cYf13tPhJC+CCAvwbwEgC/5X3f\nhz70oRkSvu+++3Dfffedt4gZCwSWmjj6tYaL1L5e7lghrphlJeCm4LUYvAGOrLn3dMJzEXHjxg3c\nuHFj6tjt27dLf/5cJBxCeAuAbwTw/BjjZ1LvjTE+FkJ4FMAzUu97znOeg3vvvfc8xcm4BGAfsN7W\num9qrTtXLEoydpFR9OC0/PvW2BuLZCO1sLm5ic3NzaljN2/exIMPPljq83OTcAjhpwF8M4AXxBgf\nLfH+pwB4OoAkWWcsN7jpqpM5QsKi/XLiTSJgTcJyY2fUBy05cEKcRza0Rqpry6LWNczrE/4ZAN8O\n4JsA7IQQnnr20u0Y434IYQPAGwD8Bk5J934Ab8apg+I3qyp0xuUCR1DcCUeP66D1X9m2hp1c5Obt\nokBfN27BWIPhe3PvLVonmKoxbyT8apy6If4NHX8VgF8CMAbwVQC+C6fOic8A+EMAL48x7lyopBmX\nGiJHsA+YB9dhIhYStoZIzCRcHyy7aGpogZQUsUgdqurAvD7hZDo1xrgP4OsvVKKMpYSVSZeISY+K\npwlYLGgyRjR3Sc4kXD+YgK2u5DwWs9btuRdiJuGMjJbAcoTcsCkCFgva0dFR0tebUQ9YjuBOGZ4c\nIaRsyRjLiEzCGZ2AdzNrjZhHyZNk3Hg8Nr/T83aWOZbqrMCvpcje6+yh1/zeqlHUEcVCmf9leYC5\nIw3PTKI7aXBir+kHZ+q8NFmeTMIZlwZeF1uvN5jXw9A7pruBM8F7vTw5ceV1pa8riveIRUed1gPH\n+j962xoVTRMuT7TLCVPL2tZWy6WIgOsuWybhjEuBMt23UyODWUM3emMq8OveDauTjd5Yx5bXVj57\nUTB58gNBzk+McfLfZZs/p7+PvcA66hWboNeBxhoEqS0C9h5O+lxUfU0sZBLOuBSYl1SLSNaaBsqa\nWRhIDzilm+p6u9frTXRRIT6LHC8Kj2j073jSi0XisnAkzKPYCQnz7CQpEm6SjPmh6UXmWY7IyCgB\njnpTI4OVIVpe60FdeOhQIUur11iMccaepYeJZEIUeBr3eeHJIt5YCFYkzP9R9GCt0Vu9GDkS1t3J\n25Qg9H/T2ycnJ+j1epPz00Q5MwlnXAowAXsk6xEtL0y8PAC67OsIVhOVrHVT3SLg8Xg8Q3q6OVwV\nrEhYnzN9HrUk4UXSbCXkiVJ5kl3WhOXBU3dTvww8SaKpMmUSzrg0YDmiiGgt0uWB8oVwvcUiYb1I\nhJgiYHEKaBKoChbBaKKRqE+XjSNk/pw3qh2TMM90wok5ljuaQkqikXPRpCyRSTjjUsCKhIX4LDnB\nIl4v4tUTYeqJMQeDwRQJW1MopQj46Oh0ZFdOeFU1ZKKle3IkDGCKdDwpwnrAWJqwJmHuqMFyRBfg\n/UdpHSy9JjyvrcjzhWp4FdNKqljrupEql06mWKjq5m0DHL0yCQ6HQ3P2bCFBTpp5JOyRcWphEtZr\nTcIWEXMSy5vDrepzyWuPXFNg+UH3buOxIKxFdyXv2iA91kNFysh8oqPjOtBZEi5rGbIGYC6CdbNY\nWVtruyl4EQg3GReZeDXk2q2urk41WXX0KO/jge+FhMsk2zx5okyErGck1nKErjvSvJc65U2TUzfx\n6nOackCkoB8gPAef1nu5QwYP2N7FbsmWvi0PDeBuUNBEuTtJwqmmJWesrXUKMcaZCsUeToucmxTq\nPQ3PajICl4OIQ5ielFLONZOKJuDRaIT19fXJOZnHBZHSi/kYzz2m9/XNynWn1+tNHBFMxFWfOyv6\ntXzR88BKwlmTq/LAPNYs1V0iYQ5uuIcm15m6y95JEgamp2bhxYpI9LEUYoxTlYk9nJqMtVWoaQLW\n256tSD8YFp2I5Xqvrq5O/hPfDDxX2vr6Og4ODhBjLOUBLiLqMgTN0gYANwo+OTmZ1Mm65iwrkuc0\n6c/7uxYJ6zE9WH7wprLX9bcrsKQWTcKaf5Y2Erb0QanMotENh8OpJMlwOCycp07rWdzVUn7z+Ph4\nRkNrugJ5yRDvBltk6P8jxKb3dfQp2rBO+uhIOEVEFkmXJWqWNnRZrYScEDKTdh1ShD6H3n+sIgrm\nMTssOUITMZ+TrkbCkmSU/ynX15Io60AnSRiYbp6yLjccDifRkLVO4eTkZKoCyXd7FVZHWXVLElYi\nzspoc+b2MhCx1vK5ia+vuyUhCQkXRYXecY/Avahab0v9sJI8QsJ1T58+zwNnnt+2iFgTcEoX1iPb\nsaTWBaTkCOEdfR2XMhLmSEhuRIl419bWzKVoRuLxeIy9vT0MBoMp+xAwO1CHZedpAilrkNz48r7L\nQMDAtIbJDyCrRWA1cS1dtOg1T08tS+Ze2axIuA5N2CqnRcQXiYYtKULP6WcRsPY+y3d1LRKWxCMP\nwamDP66HdaCTJAzc1QO1Diyyw2g0mkwHv76+jo2Njcn22tpa8nvH4/HEXqQjYABTTzwdBdTVhEzB\nIx+BkLGXrFs0pM6xVfkvckOc91xZn/OsTrKtI+E6idiK4j15piw0SckYzzxQjzVkpbgjugyOhDlZ\nr106SxMJb2xs4Nq1awAw5c209F8r+hUpYjAYJH9HTPJsyufsuNWUawIcBfNNDtxNyHUhqqgCRee2\nyw8YlkK0XOTVn7oiq9RDjJNQXtJZ6hZ/lxXRekvXYbkjdLQvUTBPu3TpI+Fr165NprwXErZ6KAkh\nC/EyARcl5kIIZhdVi4CtZm0TSDXBQwhTlrlFqPSXGZq0mISthKGGJbtUCX6Q66mfOFK1ch7zlKfL\nD0oLrHfr2Vx0DorHuqgDnSHhq1evTkhYOyCsXkpCuHotzogii5qQsNVEtJampQjLnsbatCbgTMTd\ngU4o6qSdR8DWNayDiFkqEeJhPVnnG+T4PL+zKLCSctpxIwS81JGw1oB1Qs7ato6lYJGwRcZWIqYp\npOQIK+LKaBdcN7Rezz5doJiAq7zZvaa3Hr1N6pN+eHBUfNlgRcJCwv1+f5JcZItdHegMCV+9ehX3\n3HMPABSOXGX179fyQhEsLVh7QC+aVb4oLPLVPfc4KZfRPqw6UiRF1B0JW3IER8I6euf6tGgSQ1nw\nOWESHgwGM522liIxZ0XCXn99b6AWbTfzEEKYfMc8kXATKErKSfRiWdUy2gMns3QUeR4irhIsaXkk\nbBHxZdaELTlCgjKJgpdOjmBNWJOuHmKw3+8X9oxKQcsRXlIuZe9pivA8IuZETibgboDrneyn3BFN\n9CLz5AjpniudEqxyXGZN2IuEe73eTNfrpUnMXblyBdevXweAKWlByw96NoOLoCgKPm8PoyqQioI9\nMs5oDx756v2yUXDVD1Yd0VruiJWVFYzH4yQRW/+Do3ure7dukab+T1v113owaRJucgS4zpCw1nM9\ncqwSnrnd6m3UNLyM9ng8nukim4m4+yj7YK1DG07JW0WtqxDCVKt0MBhM6aNyj+hxl8WpxLOFWOXQ\n5eFt+X5OHsp2mf9trfm7rJaCNxlpXegUCYuzQfeUq8Mq5pFvShduioy9SmENs5cJeHFgJcmKiLiO\n32YiTkXgetiAwWAw1VnI6s0q/v21tbWpmaQt0uckoe5Aonupel2w5/3P/HDh93KZmiTizpCwHguY\nuyzXRYRlouE2CJhvVl5keL0cCS8GrAcrE3BdOv9FomCJhPv9/uR9moA5Ah6NRpMuzewusIhXtFdJ\nhgGYIXrPu1/2P/N9IkltHQlz4rLpluZcJBxCeDWA1wD44rNDHwHwxhjju9R73gDgewHcC+BPAXx/\njPGRou+2SHieEz/n/3DJ1+uo0aQswTeJRMFax8sEvBjwolBtfdIkUKUcob/DkwH0wtBkaxGwRMA8\nboSe1NOalWM8Hk/GoVhZWcHh4eEUCQr0vckt4zLnXP6XJNQ1wXOiVH671+s1TsTzRsKfBvA6AB8D\nEAC8EsA7QgjPiTE+EkJ4HYDXnh3/GIAfAfDuEMKXxhh3kgVRcgQ3P+rouVY2Cpb3NgXvZrWaSZmI\nFweeJpxqNlf5u2XlCEsTZgKW3mSDwQBHR0cYjUbmRAk8WYI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ccTZBdFI2GXNEOmjIa4PB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\nRkaLyCSckZGR0SIyCWdkZGS0iP8fGu7nDthHX4wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22ae07a290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  2.39499896e-05   9.99976039e-01]\n"
     ]
    },
    {
     "data": {
      "image/png": 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mweFSwEozQxYxPYe/R2Zccu/VXK+P+q4SBgK8Xv8y5YisLdwGGK8kCAPlCRnR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\nRCbhjIyMjBbx/8GfUZ+WY8ToAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22addfc8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  9.99733627e-01   2.66377028e-04]\n"
     ]
    },
    {
     "data": {
      "image/png": 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AraI4bSFg4JYlLGvNEVp+4LTmbrc7ImDOIzhPCFtjoiPmCW8YXZaEuaJSXZYw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\nGKBIhAGKRBigSIQBit5t49RtgCspBgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22addf21d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.00000000e+00   5.32569702e-13]\n"
     ]
    },
    {
     "data": {
      "image/png": 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sPdu/vb09vaccoDMFxylxu7u70+8xAWlqWx/gEXCOOOpCyx7P7KcDpCLLrK/x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\nQkJCRCQSTkhISIiI/wMbVJgDE9EhmgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22adc8b5d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.00000000e+00   1.22333194e-11]\n"
     ]
    },
    {
     "data": {
      "image/png": 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WcLvdzpA2W8LL+n85bAJmY2DlLOHj42O0Wq3hThFLSZ8YQsRc16FMApbv4T9N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\nz5abwiJj7Ybhz5wGmoRTWYB6qd0ulha3qG5u0f6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Ar9W+7UlLMeqhv3NcHbH43lOBOa2G\nEIWCuwjKhZOwIwN9AgoB69c0GiddmoWA5Va31WqN3PaOqx3WlhsTRt6tfxEsPzev8+elrNk8na9F\nvNpVU0SuqWER9rj1cfXFRl+IdEPMVZaJVQknYUcGFtlpa1GIIEVqeYSaep0OHvGSy2ZaVmcRiog/\nj4A1EVrrKes4LyuOXT2p/4C/O9VRIg9Wths/5gw5zpRzEi4XTsKOIbQ7gh8zsciJvL6+bt7e6/XU\nkte1v5j1yUKUKauzCHkEzx2nUySf8tdqK7XIQrZGnt9bvjulJR6HhFP+dPn/LGmcuyPKhZOwI4PU\nbX+MMaMtlm3jBM3Geb2lN5Z18UvnEV0eLD+0ELzWK1tEaRW3SRGx5XJI+ZplP6QuTABydcTjWqyW\nD13+z9RFxFEenIQdAPLlVvPGYDAYNh8VzTEvj4+PcwNa45Cw1T9PlBl5JNxoNHLlZNa8+HHR3PKK\nHYnLINX+/azJHI56wEnYUQswiYmbg6utWVbwuFabDpKxVWu5I3RQLi+teByXxLjzk8EkrL9nEl+4\nYzHgJOyoBZjwpJaFbLdIWPuI88Cv1wQsGmXLGpb3pgJjOjB3ltt6y+8OIEn0juWBk7CjcjD56Cpv\nOjiorcFxiE7IS0iXCThPoqYt6JRLJE8dMe5vl98ofncmYa3EcBJeLjgJO2qBFAkLKRWpDPIglrRY\n2VaB+VTwzCJibZHr103iMuA6GEzAQuCT+r8diwcnYUctwITLAS8uAJ8KoBVBfKspuRx/vl4vItnU\nBWGSuWnFiBCwrKcsbcdyoJZalCtXrlQ9hSR8bpNjnHkJsbDywEom4FY8WjmQN7hTiGSIbWxs4N57\n7x12d+BuD9xlQhcfl+/Wc5hEumb5mnURnw984AMZOVqdCHiRj7W6wUl4QvjcJse4JMykJAQnxMed\neJn8NCGmBn+GEGqn08EHP/jBTJsdTuPlwd9vXQSmIeAiIn7f+943kpxRF5fEIh9rdYO7IxyVQwfF\nykSj0ahti3W5M3AsN2ppCTscDseqwEnY4XA4KkQd3BEdAPjSl7403HDt2jXcf//9lU0oDz63yVHX\neQE+t2lR17nVZV7EZ52i14aq+3SFEH4awD+vdBIOh8MxH/xMjPH38l5QBxJ+IoCXAPg6gMNKJ+Nw\nOByzQQfA9wL44xjjd/NeWDkJOxwOxyrDA3MOh8NRIZyEHQ6Ho0I4CTscDkeFcBJ2OByOCuEk7HA4\nHBWidiQcQnhtCOGrIYSDEMK/DSH87RrM6ddCCAM1/nMF83hBCOFDIYRvnc7hpcZr3nT6/H4I4ZMh\nhB+sw9xCCO8y9uFnSpjXL4cQPhdCuB5CeDiE8P4QwlON15W+38aZW4X77dUhhD8PIVw7HZ8JIfyY\nek1Vx1ru3KraZ9OiViQcQtgF8DYA/xeAZwL4NIB7Qwh/o9KJneAvANwG4PbT8cMVzGELwBcAvBbA\niLYwhPB6AK87ff7ZAB4C8NEQwlbVczvFvcjuwx8vYV4vAPAOAM8D8HdxkiX6kRDChrygwv1WOLdT\nVLHfvgng9QB+BMCzAHwCwIeEaCs+1nLndooq9tl00K3HqxwA7gPwW2rbAwDeUvG8fg3A/1f1/lFz\nGgB4qdr2nwFcosctAI8D+IUazO1dAP5FDfbbk07n97druN+sudViv53O5bsAXlWnfZaYW2322Tij\nNpZwCKGJk6vaR9VTHwHw/PJnNIKnnN56fTWE8J4Qwl1VT4hxOp/bQfsvxtgD8CnUY/8BwAtPb7v/\nQwjhn4YQ/loFc7iAE0v9MaB2+y0zN0Kl+y2E0Agh/I8A2gD+pE77TM+NnqrDsTYWakPCOLEC1gA8\nrLY/jJM/vErcB+DnALwYwM/jZD6fCSE8odJZZXE7Tk7gOu4/APgjAD8D4O8A+N8BPAfAx08vvmXi\nbQD+NMb4wOnjOu03PTegwv0WQvihEMINAF0A/zeAl8UYv4Ia7LOcuQH1OdbGQh2qqNUeMcY/pod/\nGUK4D8BXALwCwNurmdViIcb4Xnr4QAjh8zipF/ITAD5QxhxCCO8E8HQAP1rG902C1Nwq3m9fAvAM\nAOcB/BSA3w8h3DPn7xwX5txijPfX4VibBHWyhL8D4BgnznTGbThx+tcGMcZ9AP8ewFOqngvhIQAB\nC7D/ACDG+BCAB1HSPgwhvAPATwJ4YYzx2/RU5fstZ24jKHO/xRiPYoxfPSW2XwHwWQCvQQ32Wc7c\nrNeWeqxNitqQcIyxD+DzAF6knnoRgFrJS0IIbQA/ACD3hCkTMcav4eQEGO6/EEILwD0A/k1V80oh\nhPAkAE9GCfswhPBbAP4+gL8TY3yQn6t6v+XNLfH60vab9fUA1qreZ3lzM5+odp8Vo+rIoIpwvgwn\n5SxfBeD7ceIjuw7gyRXP660A/huclKZ7HoB/CeBq2fPCiQzsGTiR7w0A/K+nj598+vz/gZOgzt8H\n8EMAfg/AfwKwVeXcTp97K4C7AdwJ4IU4OVm/Me+5AfhtnETtX4ATS01Gh15TyX4rmlvF++03Tud1\n5+k+eQuAPk4uFlUfa8m5VbnPpv49VU/A2MGvBvBVAAcA/i2AH63BnN5zeoAd4kSj+F4A31/BPO45\nJbhjNf5fes3/CeBbAPYBfBLAD1Y9N5zUVv0wTqynQwBfA/DPAPxXJczLmtMxgJ9Tryt9vxXNreL9\n9v/QefgQTlRK/23V+6xoblXus2mH1xN2OByOClEbn7DD4XCsIpyEHQ6Ho0I4CTscDkeFcBJ2OByO\nCuEk7HA4HBXCSdjhcDgqhJOww+FwVAgnYYfD4agQTsIOh8NRIZyEHQ6Ho0I4CTscDkeF+P8B2d/V\nTrPoI8wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22ad5db250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.99306631  0.00693366]\n"
     ]
    },
    {
     "data": {
      "image/png": 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AvhjAH6yq6kfsM98F4I8BeBnAvwbwJ6qq+uTaZ9sDUy/AX9PDYaNQja8Kv7Wx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f22adc2d690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  1.12814590e-14   1.00000000e+00]\n"
     ]
    }
   ],
   "source": [
    "plt.ion()\n",
    "for i in range(7):\n",
    "    x = centers[i][0]\n",
    "    y = centers[i][1]\n",
    "    \n",
    "    cr = util.crop(im, x, y, radius=20)\n",
    "    cr = cr.resize((40, 40), Image.ANTIALIAS)\n",
    "    \n",
    "    X = np.asarray(cr.convert('L'), dtype='float64')\n",
    "    \n",
    "    mm = Image.fromarray(X)\n",
    "    plt.imshow(mm, cmap='hot')\n",
    "    plt.show()\n",
    "    \n",
    "    X[X <= 150] = -1\n",
    "    X[X >  150] = 1\n",
    "\n",
    "    x0 = np.expand_dims(X, axis=0)\n",
    "    x1 = np.expand_dims(x0, axis=3)\n",
    "    m_y = model.predict(x1)\n",
    "    print(m_y[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 计算召回率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "testT_X = np.load('./testT_X.npy')\n",
    "testT_Y = np.load('./testT_Y.npy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('Test loss:', 0.018057209669146687)\n",
      "('Test accuracy:', 0.99199999999999999)\n"
     ]
    }
   ],
   "source": [
    "score = model.evaluate(testT_X, testT_Y, verbose=0)\n",
    "print('Test loss:', score[0])\n",
    "print('Test accuracy:', score[1])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
